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Finding the Fourth Proportional to 315.07, 435.77 and 282.31

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Solution

The fourth proportional to 315.07, 435.77 and 282.31 is: 390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.07 : 435.77 = 282.31 : x
  2. Step 2: Convert to fraction form
    315.07/435.77 = 282.31/x
  3. Step 3: Cross multiply
    315.07x = 435.77 × 282.31
  4. Step 4: Simplify right side
    315.07x = 123,022.23
  5. Step 5: Solve for x
    x = 123,022.23/315.07
  6. Step 6: Final answer
    x = 390.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.